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katovenus [111]
3 years ago
5

I need help with proofs

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
6 0
<span>Proofs are often over-complicated in math class. They are basically a step by step way of doing an assignment. There can be ones that are done using only math equations, but there are also ones that you write out as you would an essay, and those are my personal favorite. In those, you basically write out moment by moment how you find out the answer to a given problem.</span>
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Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).
BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>

For option A to be cheaper, Option A must be less than option B

Option A < Option B

20 + 0.25x < 10 + 0.50x

Solve the inequality

Add -0.50x on both sides

20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

0.25x > 10

Divide both sides by 0.25

x > 40

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0
3 years ago
What is the image of point (-7, 7) for mapping (x, y) , (x – 1, x + 6).
Tcecarenko [31]
Well you can fill out the equation (-7-1, 7+6)
it'll give you 
(-8,13) 
I believe that is what you are asking for :)
Good Luck
8 0
3 years ago
I'm really stuck can someone help?
serious [3.7K]
You got it right the yellow highlighted
7 0
2 years ago
Please someone help me! asap!!
kramer

Answer:

Last option= 30 minutes

6 0
3 years ago
Can we have a repeating number in a fraction? For example, repeating 54 over positive 6.
Zinaida [17]
Yes. All you have to do is simplify the fraction to its lowest term.
5 0
3 years ago
Read 2 more answers
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